Brick partitions of graphs

نویسندگان

  • Bill Jackson
  • Tibor Jordán
چکیده

For each rational number q ≥ 1, we describe two partitions of the vertex set of a graph G, called the q-brick partition and the q-superbrick partition. The special cases when q = 1 are the partitions given by the connected components and the 2-edge-connected components of G, respectively. We obtain structural results on these partitions and describe their relationship to the principal partitions of a matroid.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 310  شماره 

صفحات  -

تاریخ انتشار 2010